There are usually several motion patterns having the same degrees of freedom (DOF). For example, planar motion, spherical motion, and spatial translation are motion patterns with 3 DOF. An -DOF parallel mechanism with multiple operation modes is a parallel mechanism that can generate different motion patterns with DOF. Up to now, no method has been proposed for the type synthesis of parallel mechanisms with multiple operation modes. This paper presents a general method for the type synthesis of parallel mechanisms with multiple operation modes. Using the proposed approach, 3-DOF parallel mechanisms with both spherical and translational modes, i.e., parallel mechanism generating both a spherical motion pattern and a spatial translational motion pattern, are generated systematically. A large number of parallel mechanisms with both spherical and translational modes are obtained.
Issue Section:
Research Papers
Keywords:
robot dynamics,
parallel mechanism,
parallel mechanism with multiple operation modes,
type synthesis,
screw theory
Topics:
Parallel mechanisms
1.
Hunt
, K. H.
, 1978, Kinematic Geometry of Mechanisms
, Cambridge University Press
, Cambridge.2.
Zlatanov
, D.
, Bonev
, I. A.
, and Gosselin
, C. M.
, 2002, “Constraint Singularities as C-Space Singularities
,” Advances in Robot Kinematics – Theory and Applications
, J.
Lenarčič
and F.
Thomas
eds., Kluwer Academic Publishers
, Dordrecht, pp. 183
–192
.3.
Zlatanov
, D.
, Bonev
, I. A.
, and Gosselin
, C. M.
, 2001, “Constraint Singularities as C-Space Singularities
,” http://www.parallemic.org/Reviews/Review008.htmlhttp://www.parallemic.org/Reviews/Review008.html4.
Merlet
, J. P.
, 2006, Parallel Robots
, 2nd ed., Springer
, Netherlands.5.
Hunt
, K. H.
, 1983, “Structural Kinematics of In-Parallel-Actuated Robot-Arms
,” ASME J. Mech., Transm., Autom. Des.
0738-0666, 105
(4
), pp. 705
–712
.6.
Di Gregorio
, R.
, 2001, “A New Parallel Wrist Using Only Revolute Pairs: The 3-RUU Wrist
,” Robotica
0263-5747, 19
(3
), pp. 305
–309
.7.
Karouia
, M.
, and Hervé
, J. M.
, 2002, “A Family of Novel Orientational 3-DOF Parallel Robots
,” RomanSy 14, Udine, Italy
, G.
Bianchi
, J.-C.
Guinot
, and C.
Rzymkowski
, eds., Springer
, New York, pp. 359
–368
.8.
Kong
, X.
, and Gosselin
, C. M.
, 2004, “Type Synthesis of 3-DOF Spherical Parallel Manipulators Based on Screw Theory
,” ASME J. Mech. Des.
1050-0472, 126
(1
), pp. 101
–108
.9.
Fang
, Y.
, and Tsai
, L.-W.
, 2004, “Structure Synthesis of a Class of 3-dof Rotational Parallel Manipulators
,” IEEE Trans. Rob. Autom.
1042-296X, 20
(1
), pp. 117
–121
.10.
Hess-Coelho
, T. A.
, 2006, “Topological Synthesis of a Parallel Wrist Mechanism
,” ASME J. Mech. Des.
1050-0472, 128
(1
), pp. 230
–235
.11.
Hunt
, K. H.
, 1973, “Constant-Velocity Shaft Couplings: A General Theory
,” ASME J. Eng. Ind.
0022-0817, 95B
, pp. 455
–464
.12.
Hervé
, J. M.
, and Sparacino
, F.
, 1991, “Structural Synthesis of Parallel Robots Generating Spatial Translation
,” Proceedings of the Fifth International Conference on Advanced Robotics
, Pisa, Italy, Vol. 1
, pp. 808
–813
.13.
Frisoli
, A.
, Checcacci
, D.
, Salsedo
, F.
, and Bergamasco
, M.
, 2000, “Synthesis by Screw Algebra of Translating In-Parallel Actuated Mechanisms
,” Advances in Robot Kinematics
, J.
Lenarčič
and M. M.
Stanišič
, eds., Kluwer Academic Publishers
, Dordrecht, pp. 433
–440
.14.
Kong
, X.
, and Gosselin
, C. M.
, 2001, “Generation of Parallel Manipulators With Three Translational Degrees of Freedom Based on Screw Theory
,” Proceedings of 2001 CCToMM Symposium on Mechanisms, Machines and Mechatronics
, Saint-Hubert
, Montreal, Canada, Paper number M3-01-012 (available at http://www.cim.mcgill.ca/~alexvit/SM3/Papers/M3-01-012.pdfhttp://www.cim.mcgill.ca/~alexvit/SM3/Papers/M3-01-012.pdf)15.
Huang
, Z.
, and Li
, Q.-C.
, 2002, “General Methodology for the Type Synthesis of Lower-Mobility Symmetrical Parallel Manipulators and Several Novel Manipulators
,” Int. J. Robot. Res.
0278-3649, 21
(2
), pp. 131
–145
.16.
Gao
, F.
, Li
, W.
, Zhao
, X.
, Jin
, Z.
, and Zhao
, H.
, 2002, “New Kinematic Structures for 2-, 3-, 4-, and 5-dof Parallel Manipulator Designs
,” Mech. Mach. Theory
0094-114X, 37
(11
), pp. 1395
–1411
.17.
Angeles
, J.
, 2004, “The Qualitative Synthesis of Parallel Manipulators
,” ASME J. Mech. Des.
1050-0472, 126
(4
), pp. 617
–624
.18.
Carricato
, M.
, and Parenti-Castelli
, V.
, 2003, “A Family of 3-DOF Translational Parallel Manipulators
,” ASME J. Mech. Des.
1050-0472, 125
(2
), pp. 302
–307
.19.
Kim
, D.
, and Chung
, W. K.
, 2003, “Kinematic Condition Analysis of Three-DOF Pure Translational Parallel Manipulators
,” ASME J. Mech. Des.
1050-0472, 125
(2
), pp. 323
–331
.20.
Kong
, X.
, and Gosselin
, C. M.
, 2004, “Type Synthesis of 3-DOF Translational Parallel Manipulators Based on Screw Theory
,” ASME J. Mech. Des.
1050-0472, 126
(1
), pp. 83
–92
.21.
Kong
, X.
, and Gosselin
, C. M.
, 2004, “Type Synthesis of 3-DOF Translational Parallel Manipulators Based on Screw Theory and a Virtual Joint
,” Proceedings of the 15th CISM-IFToMM Symposium on Robot Design, Dynamics and Control
, Saint-Hubert, Montreal, Canada.22.
Jin
, Q.
, and Yang
, T.-L.
, 2004, “Theory for Topology Synthesis of Parallel Manipulators and Its Application to Three-Dimension-Translation Parallel Manipulators
,” ASME J. Mech. Des.
1050-0472, 126
(4
), pp. 625
–639
.23.
Yang
, T.
, 2004, Topology Structure Design of Robot Mechanisms
, China Machine Press
, Beijing (in Chinese).24.
Fang
, Y.
, and Tsai
, L.-W.
, 2004, “Analytical Identification of Limb Structures for Translational Parallel Manipulators
,” J. Rob. Syst.
0741-2223, 21
(5
), pp. 209
–218
.25.
Gogu
, G.
, 2004, “Structural Synthesis of Fully-Isotropic Translational Parallel Robots via Theory of Linear Transformations
,” Eur. J. Mech. A/Solids
0997-7538, 23
(6
), pp. 1021
–1039
.26.
Phillips
, J.
, 1990, Freedom in Machinery: Volume 2 Screw Theory Exemplified
, Cambridge University Press
, Cambridge.27.
Kumar
, V.
, Waldron
, K. J.
, Chrikjian
, G.
, Lipkin
, H.
, 2000, Applications of Screw System Theory and Lie Theory to Spatial Kinematics: A Tutorial
, 2000 ASME Design Engineering Technical Conferences, Baltimore.28.
Dai
, J. S.
, and Jones
, J. R.
, 2001, “Interrelationship Between Screw Systems and Corresponding Reciprocal Systems and Applications
,” Mech. Mach. Theory
0094-114X, 36
(5
), pp. 633
–651
.29.
Davidson
, J. K.
, and Hunt
, K. H.
, 2004, Robots and Screw Theory: Applications of Kinematics and Statics to Robotics
, Oxford University Press
.30.
Kong
, X.
, and Gosselin
, C. M.
, 2005, “Type Synthesis of 5-DOF Parallel Manipulators Based on Screw Theory
,” J. Rob. Syst.
0741-2223, 22
(10
), pp. 535
–547
.31.
Kong
, X.
, and Gosselin
, C. M.
, 2005, “Type Synthesis of 3-DOF PPR-Equivalent Parallel Manipulators Based on Screw Theory and the Concept of Virtual Chain
,” ASME J. Mech. Des.
1050-0472, 127
(6
), pp. 1113
–1121
.Copyright © 2007
by American Society of Mechanical Engineers
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